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15 March 2024
Chloé Baïsse, Antoine Moran, Guillaume Goy, Julien Maillard, Nicolas Aragon, Philippe Gaborit, Maxime Lecomte, Antoine Loiseau
Soft Analytical Side Channel Attacks (SASCA) are a powerful family of Side Channel Attacks (SCA) that allow to recover secret values with only a small number of traces. Their effectiveness lies in the Belief Propagation (BP) algorithm, which enables efficient computation of the marginal distributions of intermediate values. Post-quantum schemes such as Kyber, and more recently, Hamming Quasi-Cyclic (HQC), have been targets of SASCA. Previous SASCA on HQC focused on Reed-Solomon (RS) codes and successfully retrieved the shared key with a high success rate for high noise levels using a single trace. In this work, we present new SASCA on HQC where both the shared key and the secret key are targeted. Unlike the previous SASCA, we take a closer look at the Reed-Muller (RM) code. The advantage of this choice, is that the RM decoder is applied before the RS decoder. This is what makes it possible to attack the two keys. We build a factor graph of the Fast Hadamard Transform (FHT) function from the HQC reference implementation of April 2023. The information recovered from BP allows us to retrieve the shared key with a single trace. In addition to the previous SASCA targeting HQC, we also manage to recover the secret key with two chosen ciphertext attacks. One of them require a single trace and is successful until high noise levels.
Enrico Piccione
The threshold implementation technique has been proposed in 2006 by Nikova et al. as a countermeasure to mitigate cryptographic side-channel attacks on hardware implementations when the effect of glitches is taken into account. This technique is based on Boolean sharing (also called masking) and it was developed for securing symmetric ciphers such as AES. In 2023, Piccione et al. proposed a general construction of threshold implementations that is universal for S-boxes that are bijective vectorial Boolean function (functions from a binary vector space $\mathbb{F}_{2}^n$ into itself). In this paper, we further generalize the construction and we propose a general theory of threshold implementations for any type of S-boxes. We investigate the case of functions (also not necessarily bijective) that are defined between two finite Abelian groups and we use the definition of threshold implementation given by Dhooghe et al. in 2019 with additive sharing. To show that this generalized notion is as useful as the one for Boolean sharing, we prove that many classical results still hold. An important tool in this theory is the notion of functional degree introduced by Aichinger and Moosbauer in 2021 which generalizes the algebraic degree of a vectorial Boolean function. We show that if $F$ has functional degree (at most) $d$ and the cardinality of the domain is divisible by the cardinality of the codomain, then $F$ admits a threshold implementation $\mathcal{F}$ with $s\geq d+2$ shares in input and $d+2$ shares in output. Moreover, we provide a complete overview on which are the available tools for studying the functional degree and how to represent those functions using a Integer-Valued (IV) polynomial representation. Then we apply our theory for the following applications: defining the inner product masking in our setting, providing a threshold implementation of any multiplication map, and computing the functional degree and the IV polynomial representations of the conversion maps between $\mathbb{F}_p^n$ and $\mathbb{Z}_{p^n}$.
Arpan Jati, Naina Gupta, Anupam Chattopadhyay, Somitra Kumar Sanadhya
Side-channel analysis has become a cornerstone of modern hardware security evaluation for cryptographic accelerators. Recently, these techniques are also being applied in fields such as AI and Machine Learning to investigate possible threats. Security evaluations are reliant on standard test setups including commercial and open-source evaluation boards such as, SASEBO/SAKURA and ChipWhisperer. However, with shrinking design footprints and overlapping tasks on the same platforms, the quality of the side channel information as well as the speed of data capture can significantly influence security assessment.
In this work, we designed EFFLUX-F2, a hardware security evaluation board to improve the quality and speed of side-channel information capture. We also designed a measurement setup to benchmark the signal differences between target boards. Multiple experimental evaluations like noise analysis, CPA and TVLA performed on EFFLUX-F2 and competing evaluation boards showcase the significant superiority of our design in all aspects.
In this work, we designed EFFLUX-F2, a hardware security evaluation board to improve the quality and speed of side-channel information capture. We also designed a measurement setup to benchmark the signal differences between target boards. Multiple experimental evaluations like noise analysis, CPA and TVLA performed on EFFLUX-F2 and competing evaluation boards showcase the significant superiority of our design in all aspects.
Sela Navot
This note reveals a vulnerability of MuSig and BN multi-signatures when used with delayed message selection. Despite the fact that both schemes can be correctly implemented with preprocessing of the first two signing rounds before the message to sign is selected, we show that they are insecure (i.e. not existentially unforgeable against chosen message attacks) when the message selection is deferred to the third signing round and when parallel signing sessions are permitted. The attack, which uses the algorithm by Benhamouda et al. to solve the ROS problem, is practical and runs in polynomial time.
Conrado P. L. Gouvea, Chelsea Komlo
We define a (small) augmentation to the FROST threshold signature scheme that additionally allows for re-randomizable public and secret keys. We build upon the notion of re-randomizable keys in the literature, but tailor this capability when the signing key is secret-shared among a set of mutually trusted parties. We do not make any changes to the plain FROST protocol, but instead define additional algorithms to allow for randomization of the threshold public key and participant’s individual public and secret key shares.
We show the security of this re-randomized extension to FROST with respect to the algebraic one-more discrete logarithm (AOMDL) problem in the random oracle model, the same security assumptions underlying plain FROST.
We show the security of this re-randomized extension to FROST with respect to the algebraic one-more discrete logarithm (AOMDL) problem in the random oracle model, the same security assumptions underlying plain FROST.
Emanuele Giunta, Alistair Stewart
Verifiable Random Functions (VRFs) play a pivotal role in Proof of Stake (PoS) blockchain due to their applications in secret leader election protocols. However, the original definition by Micali, Rabin and Vadhan is by itself insufficient for such applications. The primary concern is that adversaries may craft VRF key pairs with skewed output distribution, allowing them to unfairly increase their winning chances.
To address this issue David, Gaži, Kiayias and Russel (2017/573) proposed a stronger definition in the universal composability framework, while Esgin et al. (FC '21) put forward a weaker game-based one. Their proposed notions come with some limitations though. The former appears to be too strong, being seemingly impossible to instantiate without a programmable random oracle. The latter instead is not sufficient to prove security for VRF-based secret leader election schemes.
In this work we close the above gap by proposing a new security property for VRF we call unbiasability. On the one hand, our notion suffices to imply fairness in VRF-based leader elections protocols. On the other hand, we provide an efficient compiler in the plain model (with no CRS) transforming any VRF into an unbiasable one under standard assumptions. Moreover, we show folklore VRF constructions in the ROM to achieve our notion without the need to program the random oracle. As a minor contribution, we also provide a generic and efficient construction of certified 1 to 1 VRFs from any VRF.
To address this issue David, Gaži, Kiayias and Russel (2017/573) proposed a stronger definition in the universal composability framework, while Esgin et al. (FC '21) put forward a weaker game-based one. Their proposed notions come with some limitations though. The former appears to be too strong, being seemingly impossible to instantiate without a programmable random oracle. The latter instead is not sufficient to prove security for VRF-based secret leader election schemes.
In this work we close the above gap by proposing a new security property for VRF we call unbiasability. On the one hand, our notion suffices to imply fairness in VRF-based leader elections protocols. On the other hand, we provide an efficient compiler in the plain model (with no CRS) transforming any VRF into an unbiasable one under standard assumptions. Moreover, we show folklore VRF constructions in the ROM to achieve our notion without the need to program the random oracle. As a minor contribution, we also provide a generic and efficient construction of certified 1 to 1 VRFs from any VRF.
Cong Peng, Rongmao Chen, Yi Wang, Debiao He, Xinyi Huang
Order-Revealing Encryption (ORE) provides a practical solution for conducting range queries over encrypted data. Achieving a desirable privacy-efficiency tradeoff in designing ORE schemes has posed a significant challenge. At Asiacrypt 2018, Cash et al. proposed Parameter-hiding ORE (pORE), which specifically targets scenarios where the data distribution shape is known, but the underlying parameters (such as mean and variance) need to be protected. However, existing pORE constructions rely on impractical bilinear maps, limiting their real-world applicability. In this work, we propose an alternative and efficient method for constructing pORE using identification schemes. By leveraging the map-invariance property of identification schemes, we eliminate the need for pairing computations during ciphertext comparison. Specifically, we instantiate our framework with the pairing-free Schnorr identification scheme and demonstrate that our proposed pORE scheme reduces ciphertext size by approximately 31.25\% and improves encryption and comparison efficiency by over two times compared to the current state-of-the-art pORE construction. Our work provides a more efficient alternative to existing pORE constructions and could be viewed as a step towards making pORE a viable choice for practical applications.
Rabiah Alnashwan, Prosanta Gope, Benjamin Dowling
Introducing Small Cell Networks (SCN) has significantly improved wireless link quality, spectrum efficiency and network capacity, which has been viewed as one of the key technologies in the fifth-generation (5G) mobile network. However, this technology increases the frequency of handover (HO) procedures caused by the dense deployment of cells in the network with reduced cell coverage, bringing new security and privacy issues. The current 5G-AKA and HO protocols are vulnerable to security weaknesses, such as the lack of forward secrecy and identity confusion attacks. The high HO frequency of HOs might magnify these security and privacy concerns in the 5G mobile network. This work addresses these issues by proposing a secure privacy-preserving universal HO scheme UniHand for SCNs in 5G mobile communication. UniHand can achieve mutual authentication, strong anonymity, perfect forward secrecy, key-escrow-free and key compromise impersonation (KCI) resilience. To the best of our knowledge, this is the first scheme to achieve secure, privacy-preserving universal HO with KCI resilience for roaming users in 5G environment. We demonstrate that our proposed scheme is resilient against all the essential security threats by performing a comprehensive formal security analysis and conducting relevant experiments to show the cost-effectiveness of the proposed scheme.
Ittai Abraham, Gilad Asharov, Shravani Patil, Arpita Patra
We study secure multiparty computation in the asynchronous setting with perfect security and optimal resilience (less than one-fourth of the participants are malicious). It has been shown that every function can be computed in this model [Ben-OR, Canetti, and Goldreich, STOC'1993]. Despite 30 years of research, all protocols in the asynchronous setting require $\Omega(n^2C)$ communication complexity for computing a circuit with $C$ multiplication gates. In contrast, for nearly 15 years, in the synchronous setting, it has been known how to achieve $\mathcal{O}(nC)$ communication complexity (Beerliova and Hirt; TCC 2008). The techniques for achieving this result in the synchronous setting are not known to be sufficient for obtaining an analogous result in the asynchronous setting.
We close this gap between synchronous and asynchronous secure computation and show the first asynchronous protocol with $\mathcal{O}(nC)$ communication complexity for a circuit with $C$ multiplication gates. Linear overhead forms a natural barrier for general secret-sharing-based MPC protocols. Our main technical contribution is an asynchronous weak binding secret sharing that achieves rate-1 communication (i.e., $\mathcal{O}(1)$-overhead per secret). To achieve this goal, we develop new techniques for the asynchronous setting, including the use of trivariate polynomials (as opposed to bivariate polynomials).
We close this gap between synchronous and asynchronous secure computation and show the first asynchronous protocol with $\mathcal{O}(nC)$ communication complexity for a circuit with $C$ multiplication gates. Linear overhead forms a natural barrier for general secret-sharing-based MPC protocols. Our main technical contribution is an asynchronous weak binding secret sharing that achieves rate-1 communication (i.e., $\mathcal{O}(1)$-overhead per secret). To achieve this goal, we develop new techniques for the asynchronous setting, including the use of trivariate polynomials (as opposed to bivariate polynomials).
Lorenzo Grassi, Loïc Masure, Pierrick Méaux, Thorben Moos, François-Xavier Standaert
A recent work from Eurocrypt 2023 suggests that prime-field masking has excellent potential to improve the efficiency vs. security tradeoff of masked implementations against side-channel attacks, especially in contexts where physical leakages show low noise. We pick up on the main open challenge that this seed result leads to, namely the design of an optimized prime cipher able to take advantage of this potential. Given the interest of tweakable block ciphers with cheap inverses in many leakage-resistant designs, we start by describing the FPM (Feistel for Prime Masking) family of tweakable block ciphers based on a generalized Feistel structure. We then propose a first instantiation of FPM, which we denote as small-pSquare. It builds on the recent observation that the square operation (which is non-linear in Fp) can lead to masked gadgets that are more efficient than those for multiplication, and is tailored for efficient masked implementations in hardware. We analyze the mathematical security of the FPM family of ciphers and the small-pSquare instance, trying to isolate the parts of our study that can be re-used for other instances. We additionally evaluate the implementation features of small-pSquare by comparing the efficiency vs. security tradeoff of masked FPGA circuits against those of a state-of-the art binary cipher, namely SKINNY, confirming significant gains in relevant contexts.
Miranda Christ, Foteini Baldimtsi, Konstantinos Kryptos Chalkias, Deepak Maram, Arnab Roy, Joy Wang
Zero-knowledge range proofs (ZKRPs) allow a prover to convince a verifier that a secret value lies in a given interval. ZKRPs have numerous applications: from anonymous credentials and auctions, to confidential transactions in cryptocurrencies. At the same time, a plethora of ZKRP constructions exist in the literature, each with its own trade-offs. In this work, we systematize the knowledge around ZKRPs. We create a classification of existing constructions based on the underlying building techniques, and we summarize their properties. We provide comparisons between schemes both in terms of properties as well as efficiency levels, and construct a guideline to assist in the selection of an appropriate ZKRP for different application requirements. Finally, we discuss a number of interesting open research problems.
Maxime Bombar, Dung Bui, Geoffroy Couteau, Alain Couvreur, Clément Ducros, Sacha Servan-Schreiber
Secure Multi-party Computation (MPC) allows two or more parties to compute any public function over their privately-held inputs, without revealing any information beyond the result of the computation. The main efficiency bottleneck in MPC protocols comes from interaction between parties. To limit the interaction, modern protocols for MPC generate a large amount of input-independent preprocessing material called multiplication triples, in an offline phase. This preprocessing can later be used by the parties to efficiently instantiate an input-dependent online phase computing the function.
To date, the state-of-the-art secure multi-party computation protocols in the preprocessing model are tailored to secure computation of arithmetic circuits over large fields and require little communication in the preprocessing phase. In contrast, when it comes to computing preprocessing for computations that are naturally represented as Boolean circuits, the state- of-the-art techniques have not evolved since the 1980s, and in particular, require every pair of parties to interactively generate a large number of oblivious transfers, which induces an $\Omega(N^2 \cdot m)$ communication overhead.
In this paper, we introduce FOLEAGE, which addresses this gap by introducing an efficient preprocessing protocol tailored to Boolean circuits. FOLEAGE exhibits excellent performance: it generates m triples using only $N \cdot m + O(N^2 \cdot \log m)$ bits of communication for N -parties, and can concretely produce over 11 million triples per second on one core of a commodity machine. Our result builds upon an efficient Pseudorandom Correlation Generator (PCG) for multiplications triples over the field $\mathbb{F}_4$. Roughly speaking, a PCG enables parties to stretch a short seed into a large number of pseudorandom correlations non-interactively, which greatly improves the efficiency of the offline phase in MPC protocols. Our construction significantly outperforms the state-of-the-art, which we demonstrate via a prototype implementation. This is achieved by introducing a number of protocol-level, algorithmic-level, and implementation-level optimizations on the recent PCG construction of Bombar et al. (Crypto 2023) from the Quasi-Abelian Syndrome Decoding assumption supporting any field size $q \ge 3$.
To date, the state-of-the-art secure multi-party computation protocols in the preprocessing model are tailored to secure computation of arithmetic circuits over large fields and require little communication in the preprocessing phase. In contrast, when it comes to computing preprocessing for computations that are naturally represented as Boolean circuits, the state- of-the-art techniques have not evolved since the 1980s, and in particular, require every pair of parties to interactively generate a large number of oblivious transfers, which induces an $\Omega(N^2 \cdot m)$ communication overhead.
In this paper, we introduce FOLEAGE, which addresses this gap by introducing an efficient preprocessing protocol tailored to Boolean circuits. FOLEAGE exhibits excellent performance: it generates m triples using only $N \cdot m + O(N^2 \cdot \log m)$ bits of communication for N -parties, and can concretely produce over 11 million triples per second on one core of a commodity machine. Our result builds upon an efficient Pseudorandom Correlation Generator (PCG) for multiplications triples over the field $\mathbb{F}_4$. Roughly speaking, a PCG enables parties to stretch a short seed into a large number of pseudorandom correlations non-interactively, which greatly improves the efficiency of the offline phase in MPC protocols. Our construction significantly outperforms the state-of-the-art, which we demonstrate via a prototype implementation. This is achieved by introducing a number of protocol-level, algorithmic-level, and implementation-level optimizations on the recent PCG construction of Bombar et al. (Crypto 2023) from the Quasi-Abelian Syndrome Decoding assumption supporting any field size $q \ge 3$.
Harshit Saurabh, Anupam Golder, Samarth Shivakumar Titti, Suparna Kundu, Chaoyun Li, Angshuman Karmakar, Debayan Das
This paper presents SNOW-SCA, the first power side-channel analysis (SCA) attack of a 5G mobile communication security standard candidate, SNOW-V, running on a 32-bit ARM Cortex-M4 microcontroller. First, we perform a generic known-key correlation (KKC) analysis to identify the leakage points. Next, a correlation power analysis (CPA) attack is performed, which reduces the attack complexity to two key guesses for each key byte. The correct secret key is then uniquely identified utilizing linear discriminant analysis (LDA). The profiled SCA attack with LDA achieves 100% accuracy after training with < 200 traces, which means the attack succeeds with just a single trace. Overall, using the combined CPA and LDA attack model, the correct secret key byte is recovered with < 50 traces collected using the ChipWhisperer platform. The entire 256-bit secret key of SNOW-V can be recovered incrementally using the proposed SCA attack. Finally, we suggest low-overhead countermeasures that can be used to prevent these SCA attacks.
Hermann Seuschek, Johann Heyszl, Fabrizio De Santis
Two recent proposals by Bernstein and Pornin emphasize the use of deterministic signatures in DSA and its elliptic curve-based variants. Deterministic signatures derive the required ephemeral key value in a deterministic manner from the message to be signed and the secret key instead of using random number generators. The goal is to prevent severe security issues, such as the straight-forward secret key recovery from low quality random numbers. Recent developments have raised skepticism whether e.g. embedded or pervasive devices are able to generate randomness of sufficient quality. The main concerns stem from individual implementations lacking sufficient entropy source and standardized methods for random number generation with suspected back doors. While we support the goal of deterministic signatures, we are concerned about the fact that this has a significant influence on side-channel security of implementations. Specifically, attackers will be able to mount differential side-channel attacks on the additional use of the secret key in a cryptographic hash function to derive the deterministic ephemeral key. Previously, only a simple integer arithmetic function
to generate the second signature parameter had to be protected, which is rather straight-forward. Hash functions are significantly more difficult to protect. In this contribution, we systematically explain how deterministic signatures introduce this new side-channel vulnerability.
Wenhao Zhang, Xiaojie Guo, Kang Yang, Ruiyu Zhu, Yu Yu, Xiao Wang
Secure two-party computation (2PC) in the RAM model has attracted huge attention in recent years. Most existing results only support semi-honest security, with the exception of Keller and Yanai (Eurocrypt 2018) with very high cost. In this paper, we propose an efficient RAM-based 2PC protocol with active security and one-bit leakage.
1) We propose an actively secure protocol for distributed point function (DPF), with one-bit leakage, that is essentially as efficient as the state-of-the-art semi-honest protocol. Compared with previous work, our protocol takes about $50 \times$ less communication for a domain with $2^{20}$ entries, and no longer requires actively secure generic 2PC.
2) We extend the dual-execution protocol to allow reactive computation, and then build a RAM-based 2PC protocol with active security on top of our new building blocks. The protocol follows the paradigm of Doerner and shelat (CCS 2017). We are able to prove that the protocol has end-to-end one-bit leakage.
3) Our implementation shows that our protocol is almost as efficient as the state-of-the-art semi-honest RAM-based 2PC protocol, and is at least two orders of magnitude faster than prior actively secure RAM-based 2PC without leakage, providing a realistic trade-off in practice.
1) We propose an actively secure protocol for distributed point function (DPF), with one-bit leakage, that is essentially as efficient as the state-of-the-art semi-honest protocol. Compared with previous work, our protocol takes about $50 \times$ less communication for a domain with $2^{20}$ entries, and no longer requires actively secure generic 2PC.
2) We extend the dual-execution protocol to allow reactive computation, and then build a RAM-based 2PC protocol with active security on top of our new building blocks. The protocol follows the paradigm of Doerner and shelat (CCS 2017). We are able to prove that the protocol has end-to-end one-bit leakage.
3) Our implementation shows that our protocol is almost as efficient as the state-of-the-art semi-honest RAM-based 2PC protocol, and is at least two orders of magnitude faster than prior actively secure RAM-based 2PC without leakage, providing a realistic trade-off in practice.
Marshall Ball, Yanyi Liu, Noam Mazor, Rafael Pass
Only a handful candidates for computational assumptions that imply secure key-agreement protocols (KA) are known, and even fewer are believed to be quantum safe. In this paper, we present a new hardness assumption---the worst-case hardness of a promise problem related to an interactive version of Kolmogorov Complexity.
Roughly speaking, the promise problem requires telling apart tuples of strings $(\pi,x,y)$ with relatively (w.r.t. $K(\pi)$) low time-bounded Interactive Kolmogorov Complexity ($IK^t$), and those with relatively high Kolmogorov complexity, given the promise that $K^t(x|y)< s, K^t(y|x)< s$ and $s = log n$, and where $IK^t(\pi;x;y)$ is defined as the length of the shortest pair of $t$-bounded TMs $(A,B)$ such that the interaction of $(Ac,Bc)$ lead to the transcript $\pi$ and the respective outputs $x,y$.
We demonstrate that when $t$ is some polynomial, then not only does this hardness assumption imply the existence of KA, but it is also necessary for the existence of secure KA. As such, it yields the first natural hardness assumption characterizing the existence of key-agreement protocols.
We additionally show that when the threshold $s$ is bigger (e.g., $s = 55log n$), then the (worst-case) hardness of this problem instead characterizes the existence of one-way functions (OWFs). As such, our work also clarifies exactly what it would take to base KA on the existence of OWFs, and demonstrates that this question boils down to demonstrating a worst-case reduction between two closely related promise problems.
We demonstrate that when $t$ is some polynomial, then not only does this hardness assumption imply the existence of KA, but it is also necessary for the existence of secure KA. As such, it yields the first natural hardness assumption characterizing the existence of key-agreement protocols.
We additionally show that when the threshold $s$ is bigger (e.g., $s = 55log n$), then the (worst-case) hardness of this problem instead characterizes the existence of one-way functions (OWFs). As such, our work also clarifies exactly what it would take to base KA on the existence of OWFs, and demonstrates that this question boils down to demonstrating a worst-case reduction between two closely related promise problems.
Flavio Bergamaschi, Anamaria Costache, Dana Dachman-Soled, Hunter Kippen, Lucas LaBuff, Rui Tang
Approximate fully homomorphic encryption (FHE) schemes such as the CKKS scheme (Asiacrypt '17) are popular in practice due to their efficiency and utility for machine learning applications. Unfortunately, Li and Micciancio (Eurocrypt, '21) showed that, while achieving standard semantic (or $\mathsf{IND}\mbox{-}\mathsf{CPA}$ security), the CKKS scheme is broken under a variant security notion known as $\mathsf{IND}\mbox{-}\mathsf{CPA}^D$. Subsequently, Li, Micciancio, Schultz, and Sorrell (Crypto '22) proved the security of the CKKS scheme with a noise-flooding countermeasure, which adds Gaussian noise of sufficiently high variance before outputting the decrypted value. However, the variance required for provable security is very high, inducing a large loss in message precision.
In this work, we ask whether there is an intermediate noise-flooding level, which may not be provably secure, but allows to maintain the performance of the scheme, while resisting known attacks. We analyze the security with respect to different adversarial models and various types of attacks.
We investigate the effectiveness of lattice reduction attacks, guessing attacks and hybrid attacks with noise-flooding with variance $\rho^2_{\mathsf{circ}}$, the variance of the noise already present in the ciphertext as estimated by an average-case analysis, $100\cdot \rho^2_{\mathsf{circ}}$, and $t\cdot \rho^2_{\mathsf{circ}}$, where $t$ is the number of decryption queries. For noise levels of $\rho^2_{\mathsf{circ}}$ and $100\cdot \rho^2_{\mathsf{circ}}$, we find that a full guessing attack is feasible for all parameter sets and circuit types. We find that a lattice reduction attack is the most effective attack for noise-flooding level $t\cdot \rho^2_{\mathsf{circ}}$, but it only induces at most a several bit reduction in the security level.
Due to the large dimension and modulus in typical FHE parameter sets, previous techniques even for estimating the concrete security of these attacks -- such as those in (Dachman-Soled, Ducas, Gong, Rossi, Crypto '20) -- become computationally infeasible, since they involve high dimensional and high precision matrix multiplication and inversion. We therefore develop new techniques that allow us to perform fast security estimation, even for FHE-size parameter sets.
In this work, we ask whether there is an intermediate noise-flooding level, which may not be provably secure, but allows to maintain the performance of the scheme, while resisting known attacks. We analyze the security with respect to different adversarial models and various types of attacks.
We investigate the effectiveness of lattice reduction attacks, guessing attacks and hybrid attacks with noise-flooding with variance $\rho^2_{\mathsf{circ}}$, the variance of the noise already present in the ciphertext as estimated by an average-case analysis, $100\cdot \rho^2_{\mathsf{circ}}$, and $t\cdot \rho^2_{\mathsf{circ}}$, where $t$ is the number of decryption queries. For noise levels of $\rho^2_{\mathsf{circ}}$ and $100\cdot \rho^2_{\mathsf{circ}}$, we find that a full guessing attack is feasible for all parameter sets and circuit types. We find that a lattice reduction attack is the most effective attack for noise-flooding level $t\cdot \rho^2_{\mathsf{circ}}$, but it only induces at most a several bit reduction in the security level.
Due to the large dimension and modulus in typical FHE parameter sets, previous techniques even for estimating the concrete security of these attacks -- such as those in (Dachman-Soled, Ducas, Gong, Rossi, Crypto '20) -- become computationally infeasible, since they involve high dimensional and high precision matrix multiplication and inversion. We therefore develop new techniques that allow us to perform fast security estimation, even for FHE-size parameter sets.
Konstantina Miteloudi, Asmita Adhikary, Niels van Drueten, Lejla Batina, Ileana Buhan
Hardening microprocessors against side-channel attacks is a critical aspect of ensuring their security. A key step in this process is identifying and mitigating “leaky” hardware modules, which inadvertently leak information during the execution of cryptographic algorithms.
In this paper, we explore how different leakage detection methods, the Side-channel Vulnerability Factor (SVF) and the Test Vector Leakage Assessment (TVLA), contribute to hardening of microprocessors. We conduct experiments on two RISC-V cores, SHAKTI and Ibex, using two cryptographic algorithms, SHA-3 and AES.
Our findings suggest that SVF and TVLA can provide valuable insights into identifying leaky modules. However, the effectiveness of these methods can vary depending on the specific core and cryptographic algorithm in use.
We conclude that the choice of leakage detection method should be based not only on computational cost but also on the specific requirements of the system and the nature of the potential threats. Our research contributes to developing more secure microprocessors that are robust against side-channel attacks.
Deepak Kumar Dalai, Krishna Mallick
A Boolean function with good cryptographic properties over a set of vectors with constant Hamming weight is significant for stream ciphers like FLIP [MJSC16]. This paper presents a construction weightwise almost perfectly balanced (WAPB) Boolean functions by perturbing the support vectors of a highly nonlinear function in the construction presented in [DM]. As a result, the nonlinearity and weightwise nonlinearities of the modified functions improve substantially.
Xiangyu Hui, Sid Chi-Kin Chau
Linkable ring signatures are an important cryptographic primitive for anonymized applications, such as e-voting, e-cash and confidential transactions. To eliminate backdoor and overhead in trusted setup, transparent setup in the discrete logarithm or pairing settings has received considerable attention in practice. Recent advances have improved the proof sizes and verification efficiency of linkable ring signatures with transparent setup to achieve logarithmic bounds. Omniring (CCS `19) and RingCT 3.0 (FC `20) proposed linkable ring signatures in the discrete logarithm setting with logarithmic proof sizes with respect to the ring size, whereas DualDory (ESORICS `22) achieves logarithmic verifiability in the pairing setting. We make three novel contributions in this paper to improve the efficiency and soundness of logarithmic linkable ring signatures: (1) We report an attack on DualDory that breaks its linkability. (2) To eliminate such attacks, we present a new linkable ring signature scheme in the pairing setting with logarithmic verifiability. (3) We improve the verification efficiency of linkable ring signatures in the discrete logarithm setting, by a technique of reducing the number of group exponentiations for verification in Omniring by 50%. Furthermore, our technique is applicable to general inner-product relation proofs, which might be of independent interest. Finally, we empirically evaluate our schemes and compare them with the extant linkable ring signatures in concrete implementation.